Journal ArticleDOI
Random-Field Instability of the Ordered State of Continuous Symmetry
Yoseph Imry,Shang-keng Ma +1 more
TLDR
In this article, it was shown that when the order parameter has a continuous symmetry, the ordered state is unstable against an arbitrarily weak random field in less than four dimensions and the borderline dimensionality above which mean-field-theory results hold is six.Abstract:
Phase transitions are considered in systems where the field conjugate to the order parameter is static and random. It is demonstrated that when the order parameter has a continuous symmetry, the ordered state is unstable against an arbitrarily weak random field in less than four dimensions. The borderline dimensionality above which mean-field-theory results hold is six. (auth)read more
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Journal ArticleDOI
A Mechanism of Long-Range Order Induced by Random Local Fields: Effective Anisotropy Created by Defects
TL;DR: In this paper, a defect-induced effective anisotropic distribution of random local field directions in the n-dimensional space of vector order parameter with the O(n) symmetry is given.
Journal ArticleDOI
Superfluid H 3 e in globally isotropic random media
Ryusuke Ikeda,Kazushi Aoyama +1 more
TL;DR: In this paper, a weakly disordered version of the ABM pairing was studied in the case of a globally isotropic aerogel, where the coreless continuous vortices (or vortex-Skyrmions) are irrelevant to the long-distance behavior of disorder-induced textures.
Journal ArticleDOI
Theory of Manganites
Takashi Hotta,Elbio Dagotto +1 more
TL;DR: Dagotto et al. as discussed by the authors discussed the present status of theories for manganites and the complex phase diagrams of these materials, with a variety of spin-charge-orbital ordering tendencies, using mean-field and Monte Carlo simulation techniques.
Journal ArticleDOI
Depinning of disordered bosonic chains
TL;DR: In this paper, the depinning theory of elastic media in disordered pinning potentials has been studied for very short chains and for long wave-length chains with a repulsive boson-boson interaction.
Journal ArticleDOI
Critical behavior of the random-field Ising model with long-range interactions in one dimension
TL;DR: In this paper, the critical behavior of the one-dimensional random field Ising model with long-range interactions was studied and two distinct regimes of critical behavior as a function of σ were found.
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